Chaos in Low-Dimensional Lotka-Volterra Models of Competition

نویسندگان

  • J. A. Vano
  • J. C. Wildenberg
  • M. B. Anderson
  • J. K. Noel
  • J. C. Sprott
چکیده

The occurrence of chaos in basic Lotka-Volterra models of four competing species is studied. A brute-force numerical search conditioned on the largest Lyapunov exponent indicates that chaos occurs in a narrow region of parameter space but is robust to perturbations. The dynamics of the attractor are studied using symbolic dynamics, and the question of self-organized critical behavior (scale-invariance) of the solution is considered.

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تاریخ انتشار 2004